Question

(a) Find the slope of the tangent line to the curve $y^3 - 3xy + 2x^2 = 4$ at the point $(3, 2)$.

Name: (a) Find the slope of the tangent line to the curve y^3 - 3xy + 2x^2 = 4 at the point (3, 2).
Uploaded: 2023-03-20T19:13:38-08:00
Duration: 2 min 13 s
Channel: Khushbu Rani
Description: (a) Find the slope of the tangent line to the curve y^3 - 3xy + 2x^2 = 4 at the point (3, 2).

          (a) Find the slope of the tangent line to the curve $y^3 - 3xy + 2x^2 = 4$ at the point $(3, 2)$.

Added by Sharon F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Khushbu Rani

03/20/2023

Step 1

The given equation is y^3 - 3xy + 2x^2 = 4. To find the slope of the tangent line, we need to express y as a function of x. Rearranging the equation, we get y^3 = 3xy - 2x^2 + 4. Taking the cube root of both sides, we have y = (3xy - 2x^2 + 4)^(1/3). Show more…

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